Question

Please answer the question below! Math Question

Answer 1

Answer:

x^2 + 7x - 13 = (x + a)^2 + b

x^2 + 2*x*7/2 + (7/2)^2 - (7/2)^2 - 13

= (x + 7/2)^2 - 49/4 - 13

= (x + 7/2)^2 -(49+52)/4

= (x + 7/2)^2 - 101/4

= (x + 7/2)^2 + (-101/4) = (x +a)^2 + b

on comparing

a = 7/2, b = -101/4

now,

(x + 7/2)^2 - 101/4 = 0

(x + 7/2)^2 = 101/4

x + 7/2 = +_√(101/4)

x = -7/2 +_ √101/2

x = (-7 + √101)/2, (-7 - √101)/2

x = (-7+10.050)/2, (-7-10.050)/2

x = 3.050/2, -17.050/2

x = 1.525, -8.525